Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cl |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5660928 |
Modular degree for the optimal curve |
Δ |
1.4064014765332E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11803016,-14531262732] |
[a1,a2,a3,a4,a6] |
j |
54424690756969/4209228936 |
j-invariant |
L |
3.4377362062638 |
L(r)(E,1)/r! |
Ω |
0.081850858497797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154c1 89232bv1 |
Quadratic twists by: -4 13 |